Chapter 1.6, Problem 2CYU

To determine

To express: the relation as a table, a graph, and a mapping. Then find the range and domain.

Answer to Problem 2CYU

The domain $\left(4,-2,5\right)$ is range is $\left(3,2,-6\right)$ .

Explanation of Solution

Given:

The given function is: $\left\{\left(5,-7\right),\left(-1,4\right),\left(0,-5\right),\left(-2,3\right)\right\}$

Calculation:

As the given function is $\left\{\left(5,-7\right),\left(-1,4\right),\left(0,-5\right),\left(-2,3\right)\right\}$ .

Now, create a table to represent the function. The table is shown below:

$x$	$y$
$5$	$-7$
$-1$	$4$
$0$	$-5$
$-2$	$3$

Now draw the map to represent the function. The mapping is shown below:

  

Now draw the graph to represent the function. The graph is shown below:

  

Now to find the range and domain of the given function: $\left\{\left(5,-7\right),\left(-1,4\right),\left(0,-5\right),\left(-2,3\right)\right\}$

The domain $\left(5,-1,0,2\right)$ is range is $\left(7,4,-5,3\right)$ .